229662433728 has 1344 divisors, whose sum is σ = 902568883200. Its totient is φ = 56596340736.

The previous prime is 229662433727. The next prime is 229662433739. The reversal of 229662433728 is 827334266922.

229662433728 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 624 + 3 + 3 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229662433727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3146060700 + ... + 3146060772.

Almost surely, 2^229662433728 is an apocalyptic number.

229662433728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229662433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451284441600).

229662433728 is an abundant number, since it is smaller than the sum of its proper divisors (672906449472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229662433728 is an equidigital number, since it uses as much as digits as its factorization.

229662433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 229662433728 in words is "two hundred twenty-nine billion, six hundred sixty-two million, four hundred thirty-three thousand, seven hundred twenty-eight".